📚 Main Topics

1. Arc Length Calculation

   • Understanding the formula for calculating the length of an arc.
   • Example problem with a radius of 10.5 cm and an angle of 118 degrees.

2. Sector Area Calculation

   • Understanding the formula for calculating the area of a sector.
   • Example problem with a diameter of 12 cm and an angle of 145 degrees.

✨ Key Takeaways

• Arc Length Formula[\text{Arc Length} = \left(\frac{\text{Angle}}{360}\right) \times \pi \times \text{Diameter}]

  • Diameter is calculated as (2 \times \text{Radius}).

• Sector Area Formula[\text{Sector Area} = \left(\frac{\text{Angle}}{360}\right) \times \pi \times \text{Radius}^2]

  • The area depends on the radius squared, highlighting the importance of the radius in determining the size of the sector.

🧠 Lessons

• Always sketch the problem to visualize the scenario, which aids in understanding and solving the problem.
• Remember that formulas for arc length and sector area are similar but differ in the use of diameter versus radius squared.
• Practice using these formulas with different values to become familiar with their application in exam scenarios.

🏁 Conclusion

This tutorial provides a clear understanding of how to calculate the length of an arc and the area of a sector, emphasizing the importance of memorizing the relevant formulas and practicing with example problems.